Search a number
-
+
334678680 = 233257592251
BaseRepresentation
bin10011111100101…
…100101010011000
3212022202102211200
4103330230222120
51141134204210
653113154200
711202502410
oct2374545230
9768672750
10334678680
11161a10056
12940bb960
135445052b
143263d640
151e5ae0c0
hex13f2ca98

334678680 has 192 divisors, whose sum is σ = 1264723200. Its totient is φ = 75168000.

The previous prime is 334678667. The next prime is 334678703. The reversal of 334678680 is 86876433.

334678680 is a `hidden beast` number, since 33 + 467 + 86 + 80 = 666.

It is a super-2 number, since 2×3346786802 = 224019637693084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147555 + ... + 149805.

It is an arithmetic number, because the mean of its divisors is an integer number (6587100).

Almost surely, 2334678680 is an apocalyptic number.

334678680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632361600).

334678680 is an abundant number, since it is smaller than the sum of its proper divisors (930044520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

334678680 is a wasteful number, since it uses less digits than its factorization.

334678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 334678680 is about 18294.2253183894. The cubic root of 334678680 is about 694.2928334817.

The spelling of 334678680 in words is "three hundred thirty-four million, six hundred seventy-eight thousand, six hundred eighty".